Flashcard Perpendicular Bisectors and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What does it mean for a point to be equidistant from two figures?

Back

A point is equidistant from two figures if it is the same distance from both figures.

Front

How do you find the length of a segment given its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

If two segments are congruent, what does that imply?

Back

It implies that the segments have the same length.

Front

How do you determine if a point lies on the perpendicular bisector of a segment?

Back

A point lies on the perpendicular bisector if it is equidistant from the endpoints of the segment.

Front

What is the relationship between the angles formed by an angle bisector?

Back

The angles formed by an angle bisector are equal.

Front

If x = 10, what is the value of 2x?

Back

2x = 20.

Front

What is the significance of the midpoint in a segment?

Back

The midpoint is the point that divides the segment into two equal parts.

Front

How do you find the measure of an angle if you know the measures of the other two angles in a triangle?

Back

Use the triangle sum theorem: the sum of the angles in a triangle is 180 degrees.